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Lecture: Maxwell’s Equations - Fermilab

Lecture: Maxwell s EquationsMicrowave Measurement and Beam Instrumentation Courseat Jefferson Laboratory, January 15-26th2018F. MarhauserMonday, January 15, 2018 This lecture This lecture provides theoretical basics useful for follow-up lectureson resonators and waveguides introduction to Maxwell s Equations Sources of electromagnetic fields Differential form of Maxwell s equation Stokes and Gauss law to derive integral form of Maxwell s equation Some clarifications on all four Equations Time-varying fields wave equation Example: Plane wave Phase and Group Velocity Wave impedance2 Maxwell s EquationsA dynamical theory of the electromagnetic fieldJames Clerk Maxwell, F. R. Transactions of the Royal Society of London, 1865 155, 459-512, published 1 January 1865 Maxwell s EquationsTaken from Longair, M.

This Lecture -This lecture provides theoretical basics useful for follow-up lectures on resonators and waveguides -Introduction to Maxwell’s Equations • Sources of electromagnetic fields • Differential form of Maxwell’s equation ... Principle of Superposition holds: ( N)= 1

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